Finding the Third Proportional to 114,801 and 251,754

Step by Step Solution

1. Step 1: Write the proportion equation
   114,801 : 251,754 = 251,754 : x
2. Step 2: Convert to fraction form
   114,801/251,754 = 251,754/x
3. Step 3: Cross multiply
   114,801x = 251,754 × 251,754
4. Step 4: Simplify right side
   114,801x = 63,380,076,516
5. Step 5: Solve for x
   x = 63,380,076,516/114,801
6. Step 6: Final answer
   x = 552,086.45